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Finding the Fourth Proportional to 30,999.40, 46,447.90 and 26,391.40

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Solution

The fourth proportional to 30,999.40, 46,447.90 and 26,391.40 is: 39,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.40 : 46,447.90 = 26,391.40 : x
  2. Step 2: Convert to fraction form
    30,999.40/46,447.90 = 26,391.40/x
  3. Step 3: Cross multiply
    30,999.40x = 46,447.90 × 26,391.40
  4. Step 4: Simplify right side
    30,999.40x = 1,225,825,108.06
  5. Step 5: Solve for x
    x = 1,225,825,108.06/30,999.40
  6. Step 6: Final answer
    x = 39,543.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.